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Finding the Third Proportional to 58,542 and 90,561

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Solution

The third proportional to 58,542 and 90,561 is: 140,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,542 : 90,561 = 90,561 : x
  2. Step 2: Convert to fraction form
    58,542/90,561 = 90,561/x
  3. Step 3: Cross multiply
    58,542x = 90,561 × 90,561
  4. Step 4: Simplify right side
    58,542x = 8,201,294,721
  5. Step 5: Solve for x
    x = 8,201,294,721/58,542
  6. Step 6: Final answer
    x = 140,092.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.